Linkage of finite G_C-dimension modules

2015/06/30 by Arash Sadeghi, Sadeghi, Arash
Mathematics · #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC

paper · pdf · doi:10.48550/arxiv.1507.00036

arXiv admin note: substantial text overlap with arXiv:1407.6544

arxiv created 2015/06/30 · arxiv updated 2015/07/02

Abstract

Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module. We study the theory of linkage for modules of finite G_C-dimension. For a horizontally linked R-module M of finite G_C-dimension, the connection of the Serre condition (S_n) with the vanishing of certain relative cohomology modules of its linked module is discussed.

Citations

• Linkage of modules and the Serre conditions

Related

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• Linkage of finite Gorenstein dimension modules
• Linkage of modules with respect to a semidualizing module
• On the reduced grades of modules over commutative rings
• On reduced G-perfection and horizontal linkage relative to a semidualizing module